Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-11-10
Int. J. Mod. Phy. B, 20 (2006) 5405
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 4 figures
Scientific paper
10.1142/S0217979206035771
We have studied here the charge and statistics of quasiparticle excitations in FQH states on the basis of the Berry phase approach incorporating the fact that even number of flux quanta can be gauged away when the Berry phase is removed to the dynamical phase. It is observed that the charge $q$ and statistical parameter $\theta$ of a quasiparticle at filling factor $\nu=\frac{n}{2pn+1}$ are given by $q=(\frac{n}{2pn+1})e$ and $\theta=\frac{n}{2pn+1}$, with the fact that the charge of the quasihole is opposite to that of the quasielectron. Using Laughlin wave function for quasiparticles, numerical studies have been done following the work of Kj{\o}nsberg and Myrheim \cite{KM} for FQH states at $\nu=1/3$ and it is pointed out that as in case of quasiholes, the statistics parameter can be well defined for quasielectrons having the value $\theta=1/3$.
Bandyopadhyay Pradipta
Basu Baidyanath
Dhar Sourav
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